Zobrazeno 1 - 10
of 432
pro vyhledávání: '"Cristobal, J."'
In this article we prove the existence of the Born approximation in the context of the radial Calder\'on problem for Schr\"odinger operators. This is the inverse problem of recovering a radial potential on the unit ball from the knowledge of the Diri
Externí odkaz:
http://arxiv.org/abs/2402.06321
In this work we illustrate a number of properties of the Born approximation in the three-dimensional Calder\'on inverse conductivity problem by numerical experiments. The results are based on an explicit representation formula for the Born approximat
Externí odkaz:
http://arxiv.org/abs/2205.15587
Publikováno v:
J. Funct. Anal. Vol. 283(12), 2022
Uniqueness and reconstruction in the three-dimensional Calder\'on inverse conductivity problem can be reduced to the study of the inverse boundary problem for Schr\"odinger operators $-\Delta +q $. We study the Born approximation of $q$ in the ball,
Externí odkaz:
http://arxiv.org/abs/2109.06607
Publikováno v:
J. Differential Equations306(2022), 101--151
Rotational smoothing is a phenomenon consisting in a gain of regularity by means of averaging over rotations. This phenomenon is present in operators that regularize only in certain directions, in contrast to operators regularizing in all directions.
Externí odkaz:
http://arxiv.org/abs/2105.04926
Publikováno v:
In Science of the Total Environment 15 January 2024 908
Autor:
Torrente, Cristóbal J., Reca, Juan, López-Luque, Rafael, Martínez, Juan, Casares, Francisco J.
Publikováno v:
In Applied Energy 1 January 2024 353 Part A
We study the inverse scattering problem of determining a magnetic field and electric potential from scattering measurements corresponding to finitely many plane waves. The main result shows that the coefficients are uniquely determined by $2n$ measur
Externí odkaz:
http://arxiv.org/abs/2009.13315
Autor:
Caro, Pedro, Meroño, Cristóbal J.
Publikováno v:
SIAM J. Math. Anal. Vol. 52(5), 2020
The authors consider the problem of recovering an observable from certain measurements containing random errors. The observable is given by a pseudodifferential operator while the random errors are generated by a Gaussian white noise. The authors sho
Externí odkaz:
http://arxiv.org/abs/1909.11394
Publikováno v:
Revista Matem\'atica Complutense, 33 (2020), no. 2, 619-641
It is well known that the resolvent of the free Schr\"odinger operator on weighted $L^2$ spaces has norm decaying like $\lambda^{-\frac{1}{2}}$ at energy $\lambda$. There are several works proving analogous high-frequency estimates for magnetic Schr\
Externí odkaz:
http://arxiv.org/abs/1904.00693
Autor:
Martos, Luis Alfonso Pérez, García-Vico, Ángel Miguel, González, Pedro, Carmona, Cristóbal J.
Publikováno v:
In Procedia Computer Science 2023 230:33-43